Point a is locatee at (2,8) and point b is located at (8,5). what point partitions the directed line segment ab into a 1: 3 ratio

point(3.5 , 7.25)

Step-by-step explanation:

Given in the question,

pointA(2,8)

pointB(8,5)

To find,

A point which partition AB into 1:3

x1 = 2

x2 = 8

y1 = 8

y2 = 5

a = 1

b = 3

Formula to use

Plug in the values

x' = 2 + (1/1+3)(8-2)

  = 3.5

y' = 8 + (1/1+3)(5-8)

   = 7.25

So, point(3.5 , 7.25) partitions the directed line segment AB into a 1:3 ratio

The point is (3.5 , 7.25)

Step-by-step explanation:

∵ A = (2 , 8) and B = (8 , 5)

∵ Let point P divides AB into a ratio 1:3

∵

∵

∴ x-coordinate of P = (2)(3) + (8)(1)/3 + 1 = (6 + 8)/4 = 3.5

∴ y-coordinate of P = (8)(3) + (5)(1)/1 + 3 = (24 + 5)/4 = 7.25

∴ P = (3.5 , 7.25)

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step-by-step explanation: